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Single Idea 6988
[filed under theme 10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
]
Full Idea
There is notoriously a problem about what to say concerning mathematical sentences within the possible-worlds framework.
Gist of Idea
Mathematical sentences are a problem in a possible-worlds framework
Source
Frank Jackson (From Metaphysics to Ethics [1998], Ch.3 n25)
Book Ref
Jackson,Frank: 'From Metaphysics to Ethics' [OUP 2000], p.71
A Reaction
Presumably this concerns possible axioms and their combinations.
The
27 ideas
from 'From Metaphysics to Ethics'
6979
|
Serious metaphysics cares about entailment between sentences
[Jackson]
|
7005
|
Something can only have a place in a preferred account of things if it is entailed by the account
[Jackson]
|
6975
|
Possible worlds could be concrete, abstract, universals, sentences, or properties
[Jackson]
|
6977
|
Egocentric or de se content seems to be irreducibly so
[Jackson]
|
6976
|
In physicalism, the psychological depends on the physical, not the other way around
[Jackson]
|
6982
|
Long arithmetic calculations show the a priori can be fallible
[Jackson]
|
6980
|
Conceptual analysis studies whether one story is made true by another story
[Jackson]
|
6983
|
Intuitions about possibilities are basic to conceptual analysis
[Jackson]
|
6984
|
Smooth reductions preserve high-level laws in the lower level
[Jackson]
|
6991
|
We examine objects to determine colour; we do not introspect
[Jackson]
|
6986
|
Is the dependence of the psychological on the physical a priori or a posteriori?
[Jackson]
|
6987
|
We should not multiply senses of necessity beyond necessity
[Jackson]
|
6989
|
I can understand "He has a beard", without identifying 'he', and hence the truth conditions
[Jackson]
|
6990
|
Keep distinct the essential properties of water, and application conditions for the word 'water'
[Jackson]
|
6985
|
Analysis is finding necessary and sufficient conditions by studying possible cases
[Jackson]
|
6988
|
Mathematical sentences are a problem in a possible-worlds framework
[Jackson]
|
6993
|
Redness is a property, but only as a presentation to normal humans
[Jackson]
|
6992
|
If different states can fulfil the same role, the converse must also be possible
[Jackson]
|
6995
|
Successful predication supervenes on nature
[Jackson]
|
6998
|
Folk morality does not clearly distinguish between doing and allowing
[Jackson]
|
6997
|
Moral functionalism says moral terms get their meaning from their role in folk morality
[Jackson]
|
7000
|
Which are prior - thin concepts like right, good, ought; or thick concepts like kindness, equity etc.?
[Jackson]
|
6999
|
It is hard to justify the huge difference in our judgements of abortion and infanticide
[Jackson]
|
6996
|
Folk psychology covers input, internal role, and output
[Jackson]
|
6994
|
Truth supervenes on being
[Jackson]
|
6978
|
Baldness is just hair distribution, but the former is indeterminate, unlike the latter
[Jackson]
|
14707
|
Conceptual analysis is needed to establish that metaphysical reductions respect original meanings
[Jackson, by Schroeter]
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